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Finding the Fourth Proportional to 971.88, 1,456.20 and 848.76

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Solution

The fourth proportional to 971.88, 1,456.20 and 848.76 is: 1,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.88 : 1,456.20 = 848.76 : x
  2. Step 2: Convert to fraction form
    971.88/1,456.20 = 848.76/x
  3. Step 3: Cross multiply
    971.88x = 1,456.20 × 848.76
  4. Step 4: Simplify right side
    971.88x = 1,235,964.31
  5. Step 5: Solve for x
    x = 1,235,964.31/971.88
  6. Step 6: Final answer
    x = 1,271.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.